Boundary effect on pressure behavior of Power-Law non-Newtonian fluids in homogeneous reservoirs

The objective of this study is to investigate the effects of external reservoir boundaries on pressure behavior at the observation well. The equation governing the flow of non-Newtonian fluids through porous media is solved analytically. Dimensionless pressure solutions are obtained in Laplace domain and inverted using a numerical inversion algorithm. New type curves were developed from these solutions and long-time analytic models, including step-by-step procedures of interpretation, are proposed. These procedures were applied to two example problems, including a real field data of PFO test conducted after polymer injection in a Middle Eastern field. The procedures developed in this study are useful in estimating test duration needed to observe a particular flow regime that is required to estimate reservoir and flow parameters.